a² + (1/a²) = 2 হলে, a - (1/a) = কত?

প্রশ্ন: a² + (1/a²) = 2 হলে, a - (1/a) = কত?

সমাধান:
{a - (1/a)}² = a² - 2.a.1/a + (1/a)²
বা, {a - (1/a)}² = a² - 2 + (1/a²)
বা, {a - (1/a)}² = a² + (1/a²) - 2
বা, {a - (1/a)}² = 2 - 2
বা, {a - (1/a)}² = 0
বা, a - (1/a) = √0
∴ a - (1/a) = 0